SOLUTION: the roof of a tower is a square pyramid with side length 10 ft. The height of the pyramid is 6 ft. To the nearest square foot, find the area of the roofing material needed to cover

Question 466080: the roof of a tower is a square pyramid with side length 10 ft. The height of the pyramid is 6 ft. To the nearest square foot, find the area of the roofing material needed to cover the roof
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
the roof of a tower is a square pyramid with side length 10 ft. The height of the pyramid is 6 ft. To the nearest square foot, find the area of the roofing material needed to cover the roof.
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For this problem we will be working with two triangles in different planes.
The pyramid roof is made up of 4 identical triangles. Each triangle has a base=10 ft and a height=perpendicular line drawn from the apex of the pyramid to the base (in the same plane). Let's call this line h.
Looking from the side in a different plane we can see a right triangle with legs of 6 ft and 5 ft and a hypotenuse=h.
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Calculations:
h=sqrt(6^2+5^2)=√(36+25)=√61
Area of 1 roof triangle=1/2*10*√61=39.05
Area of entire roof=39.05*4=156.2 sq ft
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